SMIRNOV 360 



Smirnov worked out a new method of solving some problems on 

 the theory of the propagation of waves in elastic media with 

 plane boundaries. He investigated the singular solutions of a 

 wave equation and the equations for elasticity, and in connection 

 with this, put forth a new method for investigating the oscil- 

 lations of an elastic circle and sphere for a given external 

 influence. For linear equations of elliptical type, with any 

 number of variables, Smirnov studied cases when these 

 equations allow functionally invariant solutions. This investi- 

 gation was based on a concept introduced by Smirnov of conju- 

 gated function for Euclidian space or Riemannian space with a 

 positive metric. Smirnov is the author of Course in Advanced 

 Mathematics (5 volumes), 1924-47. He trained a large number 

 of students. 



Bibliography: 



Problems of transformation of a linear differential equation 

 of the secondary order with four singular points. Peters- 

 burg, 1918 (mimeographed). 



Sur les formules de Cauchy et de Green et quelques prob- 

 lems qui s'y rattachent. Izvest. Akad. Nauk S.S.S.R., Otdel. 

 Mat. i Est. Nauk, 1932, #3. 



Solution of finite problems for a wave equation in the case of 

 a circle and a sphere. Doklady Akad. Nauk, 1937, 14^ #1. 

 Solution of finite problems in the theory of elasticity in the 

 case of a circle and a sphere. Doklady Akad. Nauk, 1937, 

 14, #2. 



On association functions. 1-3. Vestnik of the Leningrad 

 University, 1953, #8, 11. 



On conjugated functions in a multi -dimensional Euclidian 

 space. Vestnik of Leningrad University, 1954, #5. 



Biography: 



A. P. Epifanova . Vladimir Ivanovich Smirnov. Moscow- 

 Leningrad: 1949. 



G. A. Ladyzhenskaya and G. M. Fikhtengolts. Vladimir 

 Ivanovich Smirnov (On the 70th Anniversary since the date 

 of birth). Vestnik of Leningrad University, 1957, #7. 



Office: USSR Academy of Sciences 



Leninskii Prospekt, 14 

 Moscow, USSR 



SMIRNOV, VASILH IVANOVICH (Metallurgist) 



V. I. Smirnov was born February 11, 1899. After graduating 

 from the Leningrad Mining Institute in 1922, he worked as an 

 engineer in the Katalinskii Copper Works (Urals) and supervised 



